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MHT CET20226 Aug 2022Evening ShiftMathematicsThree Dimensional GeometryActual

The magnitude of the projection of the vector 2 i +3 j + k on the vector perpendicular to the plane containing the vectors i + j + k and i +2 j +3 k is

Options

  1. A3 2 units
  2. B3 2 units
  3. C3 2 units
  4. D3 6 units

Correct answer

A. 3 2 units

Step-by-step solution

aligned & |(2 i +3 j + k ) ( i + j + k ) ( i +2 j +3 k ) | |( i + j + k ) ( i +2 j +3 k )| & = |(2 i +3 j + k ) ( i -2 j + k )| | i + j + k | & = |2-6+1| 1^2+(-2)^2+1^2 = 3 6 = 3 2 aligned

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